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Finding the Fourth Proportional to 2,374.30, 3,561.96 and 731.01

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Solution

The fourth proportional to 2,374.30, 3,561.96 and 731.01 is: 1,096.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,374.30 : 3,561.96 = 731.01 : x
  2. Step 2: Convert to fraction form
    2,374.30/3,561.96 = 731.01/x
  3. Step 3: Cross multiply
    2,374.30x = 3,561.96 × 731.01
  4. Step 4: Simplify right side
    2,374.30x = 2,603,828.38
  5. Step 5: Solve for x
    x = 2,603,828.38/2,374.30
  6. Step 6: Final answer
    x = 1,096.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.